Semigroups corresponding to algebroid branches in the plane

Bresinsky, H.

doi:10.1090/S0002-9939-1972-0291171-1

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Semigroups corresponding to algebroid branches in the plane
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Proc. Amer. Math. Soc. 32 (1972), 381-384 Request permission

Abstract:

The symmetric semigroups of nonnegative integers and their generators, corresponding to algebroid branches of the plane, are determined.

References

Roger Apéry, Sur les branches superlinéaires des courbes algébriques, C. R. Acad. Sci. Paris 222 (1946), 1198–1200 (French). MR 17942
M. A. Hoskin, Zero-dimensional valuation ideals associated with plane curve branches, Proc. London Math. Soc. (3) 6 (1956), 70–99. MR 74905, DOI 10.1112/plms/s3-6.1.70
J. G. Semple and G. T. Kneebone, Algebraic curves, Oxford University Press, London-New York, 1959. MR 0124801